Math Problem Statement

3x?=100

Solution

To solve the equation 3x=1003x = 100, follow these steps:

Step 1: Isolate xx

We need to divide both sides of the equation by 3: x=1003x = \frac{100}{3}

Step 2: Simplify

x=33.3x = 33.\overline{3} The solution is x=33.3x = 33.\overline{3}, which is a repeating decimal.

Would you like a detailed explanation on how to handle repeating decimals or convert this to a fraction?


Here are 5 related questions for deeper exploration:

  1. How can you write repeating decimals as fractions?
  2. What are other ways to approximate repeating decimals?
  3. How do you solve equations with fractions, such as 23x=100\frac{2}{3}x = 100?
  4. What happens if you multiply both sides by a negative number?
  5. How do you solve more complex linear equations involving multiple terms?

Tip: When dividing a number and getting a repeating decimal, you can express it as a fraction for exact representation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Division

Formulas

Basic linear equation formula: ax = b => x = b/a

Theorems

Basic principles of solving linear equations

Suitable Grade Level

Grades 6-8